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Nonoscillation criteria for second-order half-linear differential equations

โœ Scribed by Horng-Jaan Li; Cheh-Chih Yeh

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
373 KB
Volume
8
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

Two nonoscillatory characterizations of solutions of the half-linear second-order differential equation of the form [p(t)ly'l~-ly'] ' + q(t)lyla-ly = o, a > o are established for 7r(t0) := fto(P(S))-l/a ds < oo, and ~r(t0) = oo, respectively. Using these results, we obtain some sufficient conditions for all solutions of the above equation to be oscillatory (nonoscillatory).

๐Ÿ“œ SIMILAR VOLUMES

Nonoscillation criteria for half-linear
Nonoscillation criteria for half-linear second-order difference equations
โœ O. Doลกlรฝ; P. ล˜ehรกk ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 462 KB

Nonoscillation criteria for the half-linear second-order difference equation ZX(rkยข,(~Xxk))+ck~(Xk+l) =0, ~,(x) := IxlP-2x, p> 1, are established. These criteria are derived using the Riccati and variational technique.

Oscillation and Nonoscillation for Secon
Oscillation and Nonoscillation for Second Order Linear Differential Equations
โœ Chunchao Huang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

New oscillation and nonoscillation theorems are obtained for the second order ลฝ . ลฝ . w . ลฝ. linear differential equation uะ‰ q p t u s 0, where p t g C 0, ฯฑ and p t G 0. ลฝ . w n n q 1 xลฝ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )